Results 51 to 60 of about 197 (145)

Twists of Galois Representations and Projective Automorphisms

open access: yesJournal of Number Theory, 1999
Let \(\mathcal O\) be a commutative, complete local ring with residue field \(k\) and maximal ideal \(\lambda\). Also, let \(K\) be a finite extension of the rationals \(\mathbb Q\). Write \(G_K:=\text{Gal}(\overline{K}/K)\) and let \(\rho_1,\rho_2:G_K\rightarrow GL_n(\mathcal O)\) be surjective, continuous Galois representations, unramified outside a ...
openaire   +2 more sources

On strong multiplicity one for automorphic representations

open access: yesJournal of Number Theory, 2003
We extend the strong multiplicity one theorem of Jacquet, Piatetski-Shapiro and Shalika. Let $π$ be a unitary, cuspidal, automorphic representation of $GL_n(\A_K)$. Let $S$ be a set of finite places of $K$, such that the sum $\sum_{v\in S}Nv^{-2/(n^2+1)}$ is convergent.
openaire   +3 more sources

Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]

open access: yesProc Natl Acad Sci U S A, 2021
Allen PB, Khare CB, Thorne JA.
europepmc   +1 more source

Elements of Automorphic Representations

open access: yes, 2011
This is an attempt at a practical and essentially self-contained theory of automorphic representations in the framework $$\hbox{$L^2(\varGamma\backslashrG)$ with $rG=\r{PSL}(2,\B{R})$ and $\varGamma=\r{PSL}(2,\B{Z})$.}$$
openaire   +2 more sources

Automorphic Bloch theorems for hyperbolic lattices. [PDF]

open access: yesProc Natl Acad Sci U S A, 2022
Maciejko J, Rayan S.
europepmc   +1 more source

Permutation Representations and Automorphisms of Evolution Algebras

open access: yesMediterranean Journal of Mathematics
Abstract We prove that the natural permutation representation of highly transitive finite groups cannot be realized as the full automorphism group of an idempotent, finite-dimensional evolution algebra acting on the set of lines spanned by its natural elements. Specifically, for any sufficiently large integer n and
Costoya, Cristina   +2 more
openaire   +3 more sources

Hyperbolic band theory. [PDF]

open access: yesSci Adv, 2021
Maciejko J, Rayan S.
europepmc   +1 more source

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